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Finding the Fourth Proportional to 265,464.96, 398,246.52 and 75,917.28

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Solution

The fourth proportional to 265,464.96, 398,246.52 and 75,917.28 is: 113,889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,464.96 : 398,246.52 = 75,917.28 : x
  2. Step 2: Convert to fraction form
    265,464.96/398,246.52 = 75,917.28/x
  3. Step 3: Cross multiply
    265,464.96x = 398,246.52 × 75,917.28
  4. Step 4: Simplify right side
    265,464.96x = 30,233,792,567.87
  5. Step 5: Solve for x
    x = 30,233,792,567.87/265,464.96
  6. Step 6: Final answer
    x = 113,889.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.